<span>For three tosses of the coin all the possible outcomes are:
H-H-H
T-H-H
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T
T-T-T
4 times</span>
Question 1:
By definition, euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges
Substituting values we have:
21 + V = 49 + 2
Clearing V we have:
V = 49 + 2-21
V = 30
Answer:
the missing number is:
A. 30
Question 2:
The volume of the cube is:
V1 = L1 ^ 3 = 512
The volume of the new cube is:
V2 = L2 ^ 3 = 3375
V2 = (kL1) ^ 3 = 3375
V2 = k ^ 3 (L1) ^ 3 = 3375
V2 = k ^ 3V1 = 3375
Therefore, the scale factor will be:
k ^ 3 = V1 / V2
k ^ 3 = 512/3375
k = (512/3375) ^ (1/3)
k = 8/15
Answer:
the scale factor of a cube with a volume of 512m ^ 3 to a cube with a volume of 3,375 m * 3 is:
A. 8:15
Step-by-step explanation:
y = ax + b
I see already the result (y = x/10 × 1/6), but let's go in formally.
we have multiple function points to use to officially calculate a and b.
1/6 = a×10 + b
2/3 = a×40 + b
5/6 = a×50 + b
1 2/3 = a×100 + b
let's e.g subtract equation 1 from equation 3.
4/6 = a×40 + 0
a = 4/40 / 6 = 4 / 240 = 1/60
1/6 = 10/60 + b
1/6 = 1/6 + b
b = 0
so, the function is
y = x/60
x = 25
y = 25/60 = 5/12 cups
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old
Now when she gains another 18 years (36-18=18) he will also gain those 18 years
When she is 36 he will have 6+18=24 years old
Answer is 24.
